<u>Explaining the Concept:</u>
We need to find the slope of the given line:
We know that Slope of a line = Rise/Run. So, to calculate the rise and the run, we will use the points (0,4) and (2,0) on the line
<u>Finding the Slope:</u>
<u>Rise:</u>
We know that the rise of a line is its change in y-coordinate
So, rise of the given line = y₂ - y₁
Rise = 0 - 4 [Since y₁ = 4 and y₂ = 0]
Rise = -4
<u>Run:</u>
We know that the run of a line is its change in x-coordinate
So, Run = x₂ - x₁
Run = 2 - 0 [Since x₁= 0 and x₂ = 2]
Run = 2
<u>Slope:</u>
As we said before,
Slope = Rise/Run
<em>replacing the variables</em>
Slope = -4/2
Slope = -2
Hence, the slope of the given line is -2
I hope this helps you
x/5= -3
x= -3.5
x= -15
The probability of winning the lottery with one ticket is mathematically given as
P(W)=2.99484408*10^{−8}
<h3>
What is the probability of winning the lottery with one ticket?</h3>
Generally, the equation for the probability is mathematically given as
P(1st ball)=1/34
one ball drawn remain
34-1=33
P(2nd ball)=1/33
In conclusion, the probability of winning the lottery with one ticket is
P(W)=1/34*1/33*1/32*1/31*1/30
P(W)=2.99484408*10^{−8}
Read more about probability
brainly.com/question/11234923
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Answer:

Step-by-step explanation:
Isosceles triangles are a type of triangles in which two of their sides have an identical length. It should be noted that the angles opposite the sides that are the same length are also the same. This means that these triangles not only have two equal sides, but also two equal angles.
You can solve this problem using different methods, I will use pythagorean theorem. First take a look at the picture I attached. As you can see:

And we can find a easily using pythagorean theorem:

Solving for a:


Therefore:

You use tan34=x/15
so x=15*tan(34degrees)
x=10.12 ft